(6) A wheel rolls along a horizontal road as shown. The velocity of the center of...
A wheel with a radius of 55.0 cm rolls without slipping along a horizontal floor (see the figure). At time t, the dot P painted on the rim of the wheel is at the point of contact between the wheel and the floor. At a later time t2, the wheel has rolled through one-half of a revolution. What are (a) the magnitude and (b) the angle (relative to the floor) of the displacement of P during this interval? At time...
Wheel B of radius R rolls to the right on a rough road and wheel A of radius is connected to B by a straight and rigid bar AC of length L where is the center of wheel A and C is at the top of wheel B. At the position shown where diameter CD of wheel B is perpendicular to the ground, wheel B has an angular velocity and an angular acceleration . Assume that both wheel roll without...
The 400 mm diameter wheel shown rolls without slipping on the horizontal surface. Bar AB is 750 mm long and is attached to the wheel by a smooth pin 150 mm from the center. At the instant shown, the center of the wheel has a velocity of 1.5 m/s to the left. Determine the angular velocity of the bar AB and the velocity Va of pin A at this instant. The 400 mm diameter wheel shown rolls without slipping on...
A bicycle wheel of radius 0.290 m rolls without sliding on a horizontal surface at a constant angular speed of 15.0 rad/s. A piece of gum of mass 5.30 g is stuck to the rim as shown in the diagram. (a) What is the magnitude of the angular momentum of the gum when it is at location A relative to the points indicated below? the center of the wheel. 0.0087 kg-m/s 0.0267 x the point of contact, C What is...
6:29 a bicycle wheel rolls without slipping with velocity 18 m/s at the center of the wheel what would be the magnitude of velocity in m/s at the point in contact with the ground?
The shaft of the wheel unit rolls without slipping on the fixed horizontal surface. If the velocity and acceleration of point O are 8 ft/sec to the right and 7 ft/sec2 to the left, respectively, determine the accelerations of points A and D. Answers: j) ft/sec2 j) ft/sec2
2. The ends of uniform rod AB can slide along the horizontal floor and the inclined plane. At the instant shown, the end A is moving at a constant velocity of 2.5 to the left. Using the concept of the instantaneous center of zero velocity, determine (a) the angular velocity of the rod and (b) the velocity of end B of the rod. Also determine the acceleration of the mass center of the rod, G, which is located at the...
The shaft of the wheel unit rolls without slipping on the fixed horizontal surface. If the velocity and acceleration of point o are 2 ft/sec to the right and 4 ft/sec2 to the left, respectively, determine the accelerations of points A and D. 13" 2.4" Qo= Un = 4 ft/sec 2 ft /secc B Answers: aA = i) ft/sec + ap = li) ft/sec2
e) none of the A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s. The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. What is the direction of the disk's angular velocity? 5. 5.0 m/s a) to the left b) to the right c) out of the...
VPE means Velocity of P as an Element of (whatever number is there) Show that this mechanism corresponds to the closed loop 0-1-3-2-0 . Identify the nature of each joint i-j in this loop. 5.1. Two identical wheels 1 (of center A, ra- dius r) and 2 (of center B, radius r) roll without slipping on a flat support 0. A rod 3 of length L is pinned to the wheels at points C and D of their rim. Wheel...